Find the domain and range of fx=sin-1logx+logsin-1x, where [ ] denotes - Maths - Relations and Functions

Question

Find the domain and range of f x = sin - 1 log x + log sin - 1 x ,
where [ ] denotes

Aarushi Mishra · Accepted Answer

fx=sin-1logx+logsin-1xquantity inside log should be greater than zerosin-1x>0we know sin-1y>0, when y>0x>0 _______1⇒x≥1 _______1 Also we know that domain of sin-1x is -1≤x≤1⇒-1≤x≤1From equation 10

Find the domain and range of f x = sin - 1 log x + log sin - 1 x , where [.] denotes.

Find the domain and range of $f (x) = \sin^{- 1} (\log [x]) + \log (\sin^{- 1} [x])$ , where [.] denotes.